Now, the experiment consists on iterating through different orders and changing the refinement level for each of the orders, in order to check differences in the graphical solution. The experiment was done using a time step of \(dt=0.001\)  with a total time of \(T=0.05\) . It was computed with the parallel version of MFEM library (with 4 cores), using the Navier Miniapp [1]}. The system was solved 36 times, corresponding to \(order=1,2,3,4,5,6\) , and for each of them, \(\#refinements=0,1,2,3,4,5\) . After checking all of the results in ParaView [2]}, we summarized the general behaviour of the steady state solutions, as shown on figure REF . As notation, each of the results has a corresponding \((k,r)\)  value, where \(k\)  denotes the order and \(r\)  the amount of refinements made.
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